What is the Least Common Multiple of 93201 and 93209?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 93201 and 93209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93201 and 93209, than apply into the LCM equation.

GCF(93201,93209) = 1
LCM(93201,93209) = ( 93201 × 93209) / 1
LCM(93201,93209) = 8687172009 / 1
LCM(93201,93209) = 8687172009

Least Common Multiple (LCM) of 93201 and 93209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93201 and 93209. First we will calculate the prime factors of 93201 and 93209.

Prime Factorization of 93201

Prime Factorization of 93209

Now multiplying the highest exponent prime factors to calculate the LCM of 93201 and 93209.

LCM(93201,93209) = 3¹ × 47¹ × 661¹ × 83¹ × 1123¹
LCM(93201,93209) = 8687172009